"The explosions of Fujairah port could have been carried out by saboteurs from a third country who seek instability in the region", Heshmatollah Falahatpisheh, head of parliament's national security committee, was quoted as saying by the state news agency IRNA.
Crude rallied after Saudi Arabia said its oil tankers were attacked on Sunday, adding to the mounting geopolitical risks in the market.
Tensions have risen since the US withdrew from the 2015 nuclear deal in May past year, under which Iran agreed to limit its sensitive nuclear activities and allow in worldwide inspectors in return for the lifting of crippling economic sanctions.
Oil futures rose on Monday on increasing concerns about supply disruptions in the Middle East even as investors and traders fretted over global economic growth prospects amid a standoff in the Sino-U.S. trade talks.
Global crude benchmark Brent for July settlement traded up U.S. 38 cents, or 0.5 per cent, to US$71 a barrel on the London-based ICE Futures Europe exchange on Monday.
A senior Iranian lawmaker said that the explosions near Fujairah port showed that the security of Gulf states is fragile, Reuters reported.
The U.S. has issued a new warning to sailors and the UAE's regional allies also condemned the reported sabotage Sunday of four ships.
Iran's Revolutionary Guards, which has been designated a terrorist organisation by the United States, threatened last month to close the chokepoint if Tehran is barred from using it.
Tit-for-tat: Timeline of US-China trade dispute
As late as last Friday, the signs of signing off on a deal looked promising, according to US Treasury Secretary Steven Mnuchin. Trump appeared to defend his decision in a tweet early on Monday, lashing out over the US trade deficit with China.
Iran's foreign ministry spokesman Abbas Mousavi called the incidents "worrisome and dreadful", and asked for an investigation into aspects of the matter.
Tensions escalate near the Strait of Hormuz after what the UAE called "sabotage attacks" on four ships, including two Saudi oil tankers.
The kingdom's Foreign Ministry, in a statement published on the state-run Saudi Press Agency on Monday, condemned the incident as a "criminal act" that threatens the "safety of maritime traffic, which reflects negatively on regional and worldwide peace and security". It said "the precise means of attack or sabotage is unknown".
The tanker attacks are a signal of the growing political risk in the oil market since the US ended waivers for crude purchases from Iran earlier this month.
Falih said the attack aimed to undermine maritime freedom and the security of oil supplies to consumers all over the world.
The Saudi minister added in the statement that it is the global community's responsibility to protect maritime navigation and the security of oil tankers.
"Such irresponsible acts will increase tension and conflicts in the region and expose its peoples to great danger", said general-secretary Abdullatif bin Rashid al-Zayani.
Pompeo told the CNN that the U.S. Iran has said it will not let its oil exports be halted.